Independent simultaneous discoveries visualized through network analysis: the case of linear canonical transforms
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- 作者：Sofia Liberman ; Kurt Bernardo Wolf
- 关键词：Psychology of science ; Simultaneous discoveries ; Network analysis ; Scientific communication ; Linear canonical transforms ; 91D30 ; 01A65 ; 65R10
- 刊名：Scientometrics
- 出版年：2015
- 出版时间：September 2015
- 年：2015
- 卷：104
- 期：3
- 页码：715-735
- 全文大小：4,979 KB
- 参考文献：Bargmann, V. (1970). Group representations in Hilbert spaces of analytic functions. In P. Gilbert & R. G. Newton (Eds.), Analytical methods in mathematical physics (pp. 27-3). New York: Gordon and Breach.
Bastian, M., Heymann, S. & Jacomy, M. (2009). Gephi: an open source software for exploring and manipulating networks. In International AAAI conference on weblogs and social media. Association for the Advancement of Artificial Intelligence.
Bavelas, A. (1948). A mathematical model for group structures. Human Organization, 7, 16-0.View Article
Bavelas, A. (1968). Communication patterns in task-oriented groups. In D. Cartwright & A. F. Zander (Eds.), Group dynamics: Research and theory. New York: Harper & Row.
Blondel, V. D., Guillaume J., Lambiotte R., & Lefebvre E. (2008). Fast unfolding of communities in large networks. Journal of Statistical Mechanics: Theory and Experiment, 10, 1-2.
Brannigan, A., & Wanner, R. A. (1983). Multiple discoveries in science: A test of the communication theory. Canadian Journal of Sociology, 8, 135-51.View Article
Brouwer, W. (1964). Matrix methods in optical instrument design. New York: Benjamin.
Collins, S. A. (1970). Lens-system diffraction integral written in terms of matrix optics. Journal of Optical Society of America, 60, 1168-177.View Article
Freeman, L. C. (1978). Centrality in social networks conceptual clarification. Social Networks, 1(3), 215-39.MathSciNet View Article
Freeman, L. C. (2004). The development of social network analysis: A study in the sociology of science. Vancouver, BC: Empirical Press.
Galton, F. (1874). English men of science: Their nature and nurture. London: Macmillan & Co.View Article
Gerrard, A., & Burch, B. (1975). Introduction to matrix methods in optics. New York: Wiley.
Hagstrom, W. O. (1974). Competition in science. American Sociological Review, 39(1), 1-8.
Homans, G. C. (1950). The human group. New York: Harcourt, Brace & Co.
Hu, Y. (2006). Efficient, high-quality force-directed graph drawing. Mathematica Journal, 10(1), 37-1.
Infeld, L., & Pleba?ski, J. (1955). On a certain class of unitary transformations. Acta Physica Polononica, 14, 41-5.
Itzykson, C. (1969). Group representation in a continuous basis: An example. Journal of Mathematical Physics, 10, 1109-114.View Article
Jacomy, M., Venturini, T., Heymann, S., & Bastian, M. (2014). ForceAtlas2, a continuous graph layout algorithm for handy network visualization designed for the Gephi software. PLoS ONE, 9, 6.View Article
Kroeber, A. L. (1917). The superorganic. American Anthropologist, 19, 163-13.View Article
Liberman, S., & Wolf, K. B. (2013). Scientific communication in the process to coauthorship. In G. J. Feist & M. Gorman (Eds.), Handbook of the psychology of science. Berlin: Springer.
Merton, R. K. (1961). Singletons and multiples in scientific discovery. Proceedings of the American Philosophical Society, 105(5), 470-86.
Merton, R. K. (1973). The sociology of science: Theoretical and empirical investigations. Chicago: University of Chicago Press.
Moreno, J. L. (1953). Who shall survive?. New York: Beacon House.
Moshinsky, M., & Quesne, C. (1971). Linear canonical transformations and their unitary representations. Journal of Mathematical Physics. (N. Y.), 12(8), 1772-780.MathSciNet View Article
Moshinsky, M. & Quesne, C. (1974) Oscillator systems. In Proceedings of the 15th solvay conference in physics. Gordon and Breach, New York.
Newman, M. E. J. (2006). Modularity and community structure in networks. Proceedings of the National Academy of Sciences, 103(23), 8577-582. doi:10.-073/?pnas.-601602103 .
Ogburn, W. F., & Thomas, D. (1922). Are inventions inevitable? A note on social evolution. Political Science Quarterly, 37, 83-8.View Article
Quesne, C., & Moshinsky, M. (1971). Linear canonical transformations and matrix elements. Journal of Mathematical Physics. (N. Y.), 12(8), 1780-783.MathSciNet View Article
Sci2 Team. (2009). Science of Science (Sci2) Tool: Indiana University and SciTech Strategies, Inc. http://?sci2.?cns.?iu.?edu
Simonton, D. K. (1978). Independent discovery in science and technology: A closer look at the Poisson distribution. Social Studies of Science, 8, 521-32.View Article
Simonton, D. K. (1979). Multiple discovery and invention: Zeitgeist, genius, or chance? Journal of Personality and Social Psychology, 37, 1603.View Article
Simonton, D. K. (1986). Multiple discovery: Some Monte Carlo simulations and Gedanken experiments. Scientometrics, 9, 269-80.
Simonton, D. K. (2010). Creative thought as blind-variation and selective-retention: Combinatorial models of exceptional creativity. Physics of Life Reviews, 7(2), 190-94.View Article
Small, H. G. (1978). Cited documents as concept symbols. Social Studies of Science, 8(3), 327-40.View Article
Stavroudis, O. (1972). The optics of rays, wavefronts, and caustics. New York: Aca - 作者单位：Sofia Liberman (1)
Kurt Bernardo Wolf (2)
1. Facultad de Psicología, Universidad Nacional Autónoma de México, Mexico, Mexico
2. Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Mexico, Mexico - 刊物主题：Information Storage and Retrieval; Library Science; Interdisciplinary Studies;
- 出版者：Springer Netherlands
- ISSN：1588-2861
文摘
We describe the structural dynamics of two groups of scientists in relation to the independent simultaneous discovery (i.e., definition and application) of linear canonical transforms. This mathematical construct was built as the transfer kernel of paraxial optical systems by Prof. Stuart A. Collins, working in the ElectroScience Laboratory in Ohio State University. At roughly the same time, it was established as the integral kernel that represents the preservation of uncertainty in quantum mechanics by Prof. Marcos Moshinsky and his postdoctoral associate, Dr. Christiane Quesne, at the Instituto de Física of the Universidad Nacional Autónoma de México. We are interested in the birth and parallel development of the two follower groups that have formed around the two seminal articles, which for more than two decades did not know and acknowledge each other. Each group had different motivations, purposes and applications, and worked in distinct professional environments. As we will show, Moshinsky–Quesne had been highly cited by his associates and students in Mexico and Europe when the importance of his work started to permeate various other mostly theoretical fields; Collins-paper took more time to be referenced, but later originated a vast following notably among Chinese applied optical scientists. Through social network analysis we visualize the structure and development of these two major coauthoring groups, whose community dynamics shows two distinct patterns of communication that illustrate the disparity in the diffusion of theoretical and technological research.